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Safe navigation in uneven terrains is an important problem in robotic research. In this paper we propose a 2.5D navigation system which consists of elevation map building, path planning and local path following with obstacle avoidance. For…

Robotics · Computer Science 2022-09-16 Stepan Dergachev , Kirill Muravyev , Konstantin Yakovlev

Sampling-based model predictive control methods like MPPI and CEM are essential for real-time control of nonlinear robotic systems, particularly where discontinuous dynamics preclude gradient-based optimization. However, these methods…

Robotics · Computer Science 2026-05-05 Vincent Pacelli , Akash Ratheesh , Evangelos A. Theodorou

Articulated vehicles such as tractor-trailers, yard trucks, and similar platforms must often reverse and maneuver in cluttered spaces where pedestrians are present. We present how Barrier-Rate guided Model Predictive Path Integral (BR-MPPI)…

Robotics · Computer Science 2026-05-11 Keyvan Majd , Hardik Parwana , Bardh Hoxha , Steven Hong , Hideki Okamoto , Georgios Fainekos

Sampling-based model predictive control (MPC) optimization methods, such as Model Predictive Path Integral (MPPI), have recently shown promising results in various robotic tasks. However, it might produce an infeasible trajectory when the…

Robotics · Computer Science 2022-07-19 Ihab S. Mohamed , Kai Yin , Lantao Liu

Motion planning for robotic manipulators is a fundamental problem in robotics. Classical optimization-based methods typically rely on the gradients of signed distance fields (SDFs) to impose collision-avoidance constraints. However, these…

Robotics · Computer Science 2025-09-18 Yulin Li , Tetsuro Miyazaki , Kenji Kawashima

The proportional-integral-derivative (PID) control law is often overlooked as a computational imitation of the critic control in human decision. This paper provides a formulation to remedy this problem. Further, based on the characteristic…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Oluwasegun Ayokunle Somefun , Kayode Akingbade , Folasade Dahunsi

Proportional-Integral-Differential (PID) control is widely used in industrial control systems. However, up to now there are at least two open problems related with PID control. One is to have a comprehensive understanding of its robustness…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Bo Zhu , Wei Yu , Hugh H. T. Liu

This paper presents a multirotor control architecture, where Model Predictive Path Integral Control (MPPI) and L1 adaptive control are combined to achieve both fast model predictive trajectory planning and robust trajectory tracking. MPPI…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Jintasit Pravitra , Kasey A. Ackerman , Chengyu Cao , Naira Hovakimyan , Evangelos A. Theodorou

Proportional-integral-derivative (PID) control, the most common control strategy in the industry, always suffers from health problems resulting from external disturbances, improper tuning, etc. Therefore, there have been many studies on…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Wei Zhang , He Dong , Yunlang Xu , Xiaoping Li

Motion planning for autonomous vehicles (AVs) in dense traffic is challenging, often leading to overly conservative behavior and unmet planning objectives. This challenge stems from the AVs' limited ability to anticipate and respond to the…

Robotics · Computer Science 2025-07-17 Kanghyun Ryu , Minjun Sung , Piyush Gupta , Jovin D'sa , Faizan M. Tariq , David Isele , Sangjae Bae

Proportional-integral-derivative (PID) control is the most widely used in industrial control, robot control and other fields. However, traditional PID control is not competent when the system cannot be accurately modeled and the operating…

Robotics · Computer Science 2021-07-13 Xinyi Yu , Yuehai Fan , Siyu Xu , Linlin Ou

Model Predictive Path Integral (MPPI) control has recently emerged as a fast, gradient-free alternative to model-predictive control in highly non-linear robotic tasks, yet it offers no hard guarantees on constraint satisfaction. We…

Robotics · Computer Science 2025-10-02 Odichimnma Ezeji , Michael Ziegltrum , Giulio Turrisi , Tommaso Belvedere , Valerio Modugno

One major issue in learning-based model predictive control (MPC) for autonomous driving is the contradiction between the system model's prediction accuracy and computation efficiency. The more situations a system model covers, the more…

Robotics · Computer Science 2023-04-11 Kang Zhao , Jianru Xue , Xiangning Meng , Gengxin Li , Mengsen Wu

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

The research on sliding mode control strategy is generally based on the robust approach. The larger parameter space consideration will inevitably sacrifice part of the performance. Recently, the data-driven sliding mode control method…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Yaru Yu , Dewei Li , Dongya Zhao , Yugeng Xi

"Model-free control" and the corresponding "intelligent" PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into…

Optimization and Control · Mathematics 2013-11-21 Michel Fliess , Cédric Join

Model Predictive Control (MPC) offers a versatile framework for constraint handling and multi-objective optimisation, yet practical application faces challenges regarding initial and recursive feasibility, robustness against model…

Optimization and Control · Mathematics 2026-02-27 Dario Dennstädt

Model predictive Path-Following Control (MPFC) is a viable option for motion systems in many application domains. However, despite considerable progress on tailored numerical methods for predictive control, the real-time implementation of…

Systems and Control · Electrical Eng. & Systems 2023-01-30 Pablo Zometa , Timm Faulwasser

The autonomous driving industry is experiencing unprecedented growth, driven by rapid advancements in technology and increasing demand for safer, more efficient transportation. At the heart of this revolution are two critical factors:…

Robotics · Computer Science 2024-09-17 Harshit Jain , Priyal Babel

Model-based control is a crucial component of robotic navigation. However, it often struggles with entrapment in local minima due to its inherent nature as a finite, myopic optimization procedure. Previous studies have addressed this issue…

Robotics · Computer Science 2024-11-12 Takahiro Fuke , Masafumi Endo , Kohei Honda , Genya Ishigami
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